# nLab nilpotent L-infinity algebra

Contents

## Examples

### $\infty$-Lie algebras

#### Higher algebra

higher algebra

universal algebra

and

# Contents

## Idea

The generalization of the concept of nilpotent Lie algebra from Lie algebras to L-infinity algebras.

## Properties

### Rational homotopy theory

The central theorem of rational homotopy theory says that the homotopy theory of nilpotent $L_\infty$-algebras of finite type over the rational numbers is equivalently that of rational nilpotent topological spaces of finite type.

## References

• Ezra Getzler, Lie theory for nilpotent $L_\infty$ algebras, Annals of Mathematics, 170 (2009), 271–301 (math.AT/0404003)

Created on February 16, 2017 at 02:51:14. See the history of this page for a list of all contributions to it.